Answer:
p = 10.8
Step-by-step explanation:
Given that p is directly proportional to (p-1)² and p is always positive, then;
q = k (p-1)²
If q = 30 and p = 7
30 = k(7-1)²
30 = 6²k
30 = 36k
5 = 6k
k = 5/6
To get p when q = 80
q =k (p-1)²
80 = 5/6((p-1)²
480 = 5(p-1)²
480/5 = (p-1)²
(p-1)² = 96
p-1 = √96
p-1 = 9.8
p = 9.8 + 1
p = 10.8
B) 6
Ch 10.82
This follows from the half-angle identity for cosine.
Answer:
717 * 213 = 152721
Step-by-step explanation:
Given
717 and 213
Required
Multiply
Rewrite in the following form
7 1 7
* 2 1 3
---------------------
Start by multiply 717 by 3
7 1 7
* 2 1 3
---------------------
2 1 5 1
Then multiply 717 by 1
7 1 7
* 2 1 3
---------------------
2 1 5 1
7 1 7
Then multiply 717 by 2
7 1 7
* 2 1 3
---------------------
2 1 5 1
7 1 7
1 4 3 4
Lastly, add the resulting digits
7 1 7
* 2 1 3
---------------------
2 1 5 1
7 1 7
1 4 3 4
--------------------------
1 5 2 7 2 1
<em>Hence; 717 * 213 = 152721</em>
Answer 16
Step-by-step explanation:
4+4=8+4=12+4=16
OR
4×4=16